A common concern about the Beck Depression Inventory, Second edition (BDI-II) among researchers in the area of depression has long been the single-factor scoring scheme. Methods exist for making cross-sample comparisons of latent structure but tend to rely on estimation methods that can be imprecise and unnecessarily complex. This study presents a computationally more efficient method for reproducing a population matrix and uses this method to evaluate competing factor solutions of the BDI-II published in the literature. The results of this study suggest our alternative method can reproduce a population matrix and when used to test various factor solutions of the BDI-II, there is a lack of evidence to suggest any one superior structure. However, the source of measurement error within some models may help inform the diagnostic utility of the BDI-II.